16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 4.5.8
Polynomials
Mathematics — Linear Algebra · congruence-irreducible-no-zero-divisors
Problem
If p is an irreducible polynomial and fg≡0modp, prove that either f≡0modp or g≡0modp. Give an example which shows that this is false if p is not irreducible.